Multiple choice

Eight years ago, the ratio of ages of A and B was (9 : 10). The ratio of their ages 4 years from now will be (12 : 13). What in the age (in years) of C now, if his age is 6 years more than that of A?

  1. 42

  2. 50

  3. 48

  4. 56
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages 8 years ago be 9x and 10x. Present ages: 9x + 8 and 10x + 8. After 4 years: 9x + 12 and 10x + 12. Ratio is (9x + 12)/(10x + 12) = 12/13. Cross-multiply: 13(9x + 12) = 12(10x + 12) → 117x + 156 = 120x + 144 → 3x = 12 → x = 4. A's present age = 9(4) + 8 = 44. C's age = A's age + 6 = 50.

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